Location of Solutions of Fredholm–Nemytskii Integral Equations from a Whittaker-Type Operator-Reference-Cited by-同舟云学术

Location of Solutions of Fredholm–Nemytskii Integral Equations from a Whittaker-Type Operator

Published:2022-01-30 Issue:1 Volume:19 Page:
ISSN:1660-5446
Container-title:Mediterranean Journal of Mathematics
language:en
Short-container-title:Mediterr. J. Math.

Author:

Ezquerro J. A.^ORCID,Hernández-Verón M. A.

Abstract

AbstractWe analyse the global convergence of a Whittaker-type iterative method and obtain restricted global convergence domains, so that we can locate and separate solutions of Fredholm–Nemytskii nonlinear integral equations by means of balls. For this, we use two techniques, one based on the well-known fixed point theorem and the other on a system of recurrence relations. In both techniques, we use the Whittaker-type operator involved and auxiliary functions.

Funder

Universidad de la Rioja

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00009-021-01944-w.pdf

Reference18 articles.

1. Amat, S., Busquier, S., Plaza, S.: Review of some iterative root-finding methods from a dynamical point of view. Sci. Ser. A Math. Sci. (N.S.) 10, 3–35 (2004)

2. Argyros, I.K.: On a class of nonlinear integral equations arising in neutron transport. Aequationes Math. 36(1), 99–111 (1988)

3. Argyros, I.K.: Approximating the fixed points of some nonlinear operator equations. Math. Slovaca 38(4), 409–417 (1988)

4. Argyros, I.K., George, S.: Extending the applicability of the super-Halley-like method using $$\omega $$-continuous derivatives and restricted convergence domains. Ann. Math. Sil. 33(1), 21–40 (2019)

5. Argyros, I.K., Regmi, S.: Undergraduate research at Cameron University on iterative procedures in Banach and other spaces. Nova Science Publisher, New York (2019)